Finding the Fourth Proportional to 149,283.64, 206,003.82 and 82,202.68
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Solution
The fourth proportional to 149,283.64, 206,003.82 and 82,202.68 is: 113,435.51
Step by Step Solution
- Step 1: Write the proportion equation
149,283.64 : 206,003.82 = 82,202.68 : x - Step 2: Convert to fraction form
149,283.64/206,003.82 = 82,202.68/x - Step 3: Cross multiply
149,283.64x = 206,003.82 × 82,202.68 - Step 4: Simplify right side
149,283.64x = 16,934,066,094.24 - Step 5: Solve for x
x = 16,934,066,094.24/149,283.64 - Step 6: Final answer
x = 113,435.51
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.